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Year 3–4 Number Fluency: Addition, Subtraction & Early Multiplication
Mathematics
Year 3–4 bridge
AC9M3N03, AC9M3N04, AC9M3N06 (number facts, addition/subtraction strategies, x2/x5/x10)
Build fluency with basic facts using mental strategies (doubles, make 10, bridging, x2/x5/x10)
Concrete strategies & modelling | Timed challenges & strategy explanation

Print via your browser’s print dialog (Ctrl/Cmd + P). This worksheet is designed for a calm fluency boost: focus on thinking first, then speed.

Learning intention & success criteria

Learning intention

Today I am learning to use smart number strategies to answer facts more quickly and confidently.

Success criteria

I can:

In my own words, today I am learning to…
Warm-up / Prior knowledge

Answer these facts. You do not need to be fast yet – just try your best and show neat working if you need it.

6 + 7 =
8 + 5 =
9 + 6 =
15 − 7 =
14 − 9 =
3 × 2 =
5 × 4 =
10 × 3 =
Vocabulary / Key ideas
Teaching input – What you need to know

Fluent number thinkers do not count every time – they use patterns and known facts. Before trying to be fast, we focus on choosing a good strategy. Speed comes later with practice.

Example strategies:

Write one strategy you already like using, and one you want to get better at.
Worked example

Example question:

Work out 9 + 7 using a “make 10” strategy, not fingers.

Step-by-step solution:

  1. Start with 9. You know 9 needs 1 more to make 10.
  2. Take 1 from the 7: split 7 into 1 and 6.
  3. Now do 9 + 1 = 10, then 10 + 6 = 16.

Why this works:

It is easier to jump to 10 and then add what is left. 10 is a friendly number, so this strategy makes harder facts feel simpler.

Use the same idea to explain how you could solve 8 + 7 without counting by 1s.
Guided practice (We do)

Choose a strategy for each question (doubles, near doubles, make 10, or “how much more?”). You can talk about your thinking with your tutor.

  1. Use a near double to solve 7 + 8.
  2. Use make 10 to solve 8 + 5.
  3. Think “how much more?” to solve 13 − 9.
  4. 5 × 6 – use a pattern from the 5 times table to solve this without skip-counting by 1s.

Adjustments:

Support: Use tens frames, number lines or counters to see the make-10 or near-double pattern.

Challenge: After solving, explain which strategy was quickest and why.

Independent practice (You do)

Try to answer each fact using a strategy you choose. If you want, you can time how long the whole section takes, then try again another day to beat your time calmly.

a) Addition with make 10 / near doubles

9 + 5
7 + 7
8 + 6
6 + 9
4 + 8
3 + 9
5 + 7
6 + 6

b) Subtraction as “how much more?”

  1. 15 − 8 =
  2. 17 − 9 =
  3. 14 − 6 =

c) 2, 5 and 10 times tables

2 × 7
5 × 3
10 × 4
5 × 8
Extension / Enrichment (Optional)

Choose 3 of your favourite facts from this page and:

  1. Write the fact (for example, 8 + 6 = 14).
  2. Write which strategy you used.
  3. Explain in a sentence how your strategy works.
Reflection

Years 3–4

What did I do well today?

What strategy helped me answer more quickly?

What is one strategy I want to keep practising?

Materials (if needed)

Answer key — For parents & tutors

Warm-up answers

  1. 6 + 7 = 13
  2. 8 + 5 = 13
  3. 9 + 6 = 15
  4. 15 − 7 = 8
  5. 14 − 9 = 5
  6. 3 × 2 = 6
  7. 5 × 4 = 20
  8. 10 × 3 = 30

Guided practice answers

  1. 7 + 8 = 15 (near double of 7 + 7 or 8 + 8)
  2. 8 + 5 = 13 (8 + 2 + 3 = 10 + 3)
  3. 13 − 9 = 4 (9 and 4 make 13)
  4. 5 × 6 = 30

Independent practice answers

a) Addition

  1. 9 + 5 = 14
  2. 7 + 7 = 14
  3. 8 + 6 = 14
  4. 6 + 9 = 15
  5. 4 + 8 = 12
  6. 3 + 9 = 12
  7. 5 + 7 = 12
  8. 6 + 6 = 12

b) Subtraction

  1. 15 − 8 = 7
  2. 17 − 9 = 8
  3. 14 − 6 = 8

c) 2, 5 and 10 times tables

  1. 2 × 7 = 14
  2. 5 × 3 = 15
  3. 10 × 4 = 40
  4. 5 × 8 = 40

Notes for parents & tutors

This worksheet is designed for a student who has solid accuracy but needs support with fluency. The focus is on strategy-based thinking before speed: